Least Common Multiple (LCM) of 155 and 75
The least common multiple (LCM) of 155 and 75 is 2325.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 155 and 75?
First, calculate the GCD of 155 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 75 = 2 remainder 5 |
| 2 | 75 ÷ 5 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 165 | 20955 |
| 180 and 36 | 180 |
| 67 and 31 | 2077 |
| 170 and 42 | 3570 |
| 157 and 67 | 10519 |